CAT Formula Sheet - Important Formulas for CAT 2024 Quantitative Aptitude Preparation

CAT Formula Sheet - Important Formulas for CAT 2024 Quantitative Aptitude Preparation

Edited By Team Careers360 | Updated on Nov 21, 2024 12:08 PM IST | #CAT

The Common Admission Test (CAT) is the gateway to the world of management for a student in India. The question paper is prepared by the top IIMs (Indian Institute of Managements) of the country every year, CAT easily creates a niche for itself among the top admission tests of the country’s academia.

When preparing for the CAT exam, mastering the important formulas for CAT quantitative aptitude is essential. These key formulas for CAT preparation cover a wide range of topics, including algebra, geometry, arithmetic, and number systems. Familiarity with essential CAT formulas will help candidates solve problems quickly and accurately, especially in the time-constrained environment of the exam. Regular practice of quant formulas for CAT exam will not only boost confidence but also improve problem-solving speed, making it easier to tackle the quantitative aptitude section effectively.

There are basically 3 sections in CAT Examination, which are:

Section

No. of Q’s

Time


A. Verbal Ability and Reading Comprehension

24

40 min.

B. Data Interpretation and Logical Reasoning

20

40 min.

C. Quantitative Ability

22

40 min.

Total

66

120 min. (2 hr.)







Each correct answer fetches 3 marks. Hence the total marks of the examination are 66 x 3 = 198.

Overview of CAT Quantitative Aptitude section

Syllabus

The syllabus of CAT is only what we have studied in our schools till the tenth standard. However, no specific syllabus exists. But for better understanding of Quantitative Aptitude syllabus we can refer to following table:




Arithmetic

1. Percentage (Basics and related questions)

2. Ratios (Basics and related concepts i.e.Proportions and Variations )

3. Averages (Basics and related concepts i.e. Mixture and Alligation )

4. Profit & Loss

5. Simple Interest and Compound Interest

6. Time, Speed and Distance

(Questions related to Trains and Stream etc.)

7. Time & Work


Number System

1. Numbers and their classification i.e. Prime numbers, rational numbers, fractions, integers etc.

2. Divisibility Rule

3. Factorization of Numbers

4. LCM & HCF related questions



Geometry

1. Lines and angles

2. Triangles (area, similarity, congruency etc.)

3. Circles

4. Quadrilaterals (Rectangle, square, trapezium)

5. Mensuration (Area and volume of 2D and 3D figures)

6. Trigonometry

7. Co-ordinate Geometry


Algebra

1. Advance Linear Equations

2. Quadratic Equations, Inequalities & Modulus

3. Progression & Series (Arithmetic Progression, Geometric Progression, Harmonic Progression and Relation Between AM, GM and HM)

4. Indices & Surds

5. Logarithm

Miscellaneous

1. Permutation & Combination

2. Probability

Important Quant Formulas

Quantitative Aptitude formulas form the foundation of the Quantitative Aptitude section in the CAT exam. Here are some important CAT quant formulas section-wise for CAT 2024 preparation:

Arithmetic

Arithmetic section is the most important section in the Quantitative Aptitude Section which is also useful to solve the D.I. problems. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:

1. Percentage:

Following are some Important CAT Formulas of this topic:

a. X is what percentage of Y = XY . 100%

b. X is what percentage more/less than Y = Diff. between X & YY . 100%

c. If X is a% more than Y then, X = Y. (100 + a) %

d. If X is a% less than Y then, X = Y. (100 - a) %

Shortcut Formulas

Following are some formulas which can be used as Cat Quant Formula

Cheat Sheet for the preparation and exam point of view:

  1. If price of an item is changed by x% initially and then again changed by y%, then- {Successive percentage change}

overall % change in price = (x + y + x.y/100) %

  1. A = B X C

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If B is changed by x% and C is changed by y%, then-

overall % change in A = (x + y + x.y/100) %

  1. If price of an item is increased by x% and then decreased by y%, then-

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overall % change in price = -(x2/100) %

2. Profit & Loss:

Following are some Important CAT Formulas of this topic:

a. S.P. (selling price) = C.P. (cost price) + Profit

b. S.P. = C.P. – Loss

c. Profit or Loss % = Profit or LossC.P. . 100%

d. Discount % = Discount M.P.(Marked Price) . 100%

e. S.P. = C.P. (100 + Profit) % or C.P. (100 – loss) %

Shortcut Formulas

Following are some formulas which can be used as Cat Quant Formula

Cheat Sheet for the preparation and exam point of view:

  1. If an article is marked m% more than cost price and then discount of d% is given over marked price, then-

Overall profit or loss % = (m – d – m.d/100) %

3. Simple Interest (S.I.) & Compound Interest (C.I.):

Following are some basic and Important Formulas for CAT 2024 related to this topic:

  1. S.I. = Principal(P) x Rate of Interest(R) x Time(T) / 100

= P.R.T/100

  1. If interest is compounded annually, then-

Amount = P [1 + R100 ]T

  1. If interest is compounded half-yearly, then-

Amount = P [1 + R2 x 100 ]2T

  1. Amount = P + Interest

Shortcut Formulas

Following are some formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:

  1. If an amount is invested in a scheme in which interest is compounded annually at the rate of R%, then the amount will be double in 72/R years.

ex: P = 2000, R = 8%, then it will be double in 72/8 = 9 years.

  1. Scheme A: (S.I.) P = x, R = r%

Scheme B: (C.I.) P = x, R = r%

  • For 2 years, C.I. – S.I. = P. [ R/100 ]2

  • For 3 years, C.I. – S.I. = P. [ R/100 ]2 [3 + R/100 ]

4. Time, Speed & Distance:

Following are some basic and Important Formulas for CAT 2024 related to this topic:

  1. Distance(D) = Speed (S) X Time (T)

  2. Average Speed = Total Distance covered/ Total time taken

Trains:

  1. Time taken by train to cross a pole/person –

Time= Length of Train (l) / Speed of Train (s)

  1. Time taken by train to cross a platform/tunnel –

Time= Length of Train (l) + Length of platform or tunnel (d) / Speed of Train (s)

  1. Time taken by trains to cross each other after their meeting (if there are running in the same direction)

Time= Length of Train-1(l1) + Length of Train-2(l2) / Diff. of Speeds of Train

= (l1 + l2)/ (s1 - s2)

  1. Time taken by trains to cross each other after their meeting (if there are running in the opposite direction)

Time= Length of Train-1(l1) + Length of Train-2(l2) / Sum of Speeds of Train

= (l1 + l2)/ (s1 + s2)

Boat & Streams:

Speed of Boat in still water = x kmph

Speed of Stream/water/current = y kmph

Travelling time = t hr.

  1. If a boat is travelling downstream (Boat and water are in same direction)

Then Distance travelled by boat –

D = (x + y). t km.

  1. If a boat is travelling Upstream (Boat and water are in different direction)

Then Distance travelled by boat –

D = (x - y). t km.

Clocks:

  1. Speed of Hour hand = 0.5° per minute

{Hour hand covers 1 round = 360° in 12 hours or 720 minutes}

  1. Speed of Minute hand = 6° per minute

{Hour hand covers 1 round = 360° in 1 hours or 60 minutes}

  1. At time H:M, The angle (in degrees) between hour hand and minute hand

angle θ = |112M-30H|

Shortcut Formulas

Following are some Quantitative Aptitude Formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:

  1. If the distance covered in each stage of journey is same, but speeds are different then, the average speed is the harmonic mean of the different speeds.

Ex: If distance between point A to B and B to C are same and are covered with the speed of S1 and S2 respectively. Then-

Average speed = 2/1/S1+1/S2 = 2S1. S2/S1+S2

  1. If the time taken in each stage of journey is same, but speeds are different then, the average speed is the average of the different speeds.

Ex: If time taken between points A to B and B to C is same and these distances are covered with the speed of S1 and S2 respectively. Then-

Average Speed = S1+S2/2

  1. If two people start running on a circular track of length D km in the same direction from the same point with speeds a & b kmph, then-

(i) Time taken in first meeting = D/|a-b| hr.

(ii) Time taken to meet again at the starting point = LCM (D/a ,D/b)

(iii) No. of Distinct meeting Points = |x - y|

{x & y are the simplified ratio of speeds, Ex: If speeds a & b are 12 kmph & 9 kmph

respectively, then- x: y = 12: 8 = 3: 2; So, x = 3 & y =2}

  1. If two people start running on a circular track of length D km in the opposite direction from the same point with speeds a & b kmph, then-

(i) Time taken in first meeting = D|a+b| hr.

(ii) Time taken to meet again at the starting point = LCM (Da ,Db) hr.

(iii) No. of Distinct meeting Points = |x + y|

{x & y are the simplified ratio of speeds}

  1. If a person P starts from A and heads towards B and another person Q starts from B and heads towards A and they meet after a time 't' then, t = √ (?. y)

[where x = time taken (after meeting) by P to reach B and y = time taken (after meeting) by Q to reach A]

  1. If the speed of the boat downstream is u kmph and the speed of the boat upstream is v kmph, then-

Speed of the boat in still water = u + v2 kmph

Rate of stream = u- v2 kmph

Geometry

Geometry section is the lengthiest section in the Quantitative Aptitude Section which has lots of properties and formulas. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:

1. Triangles:

Properties of Triangles:

  1. Sum of all interior angles in a triangle is 180° and Exterior angles is 360°.

  2. Sum of any two sides is always greater than third one and difference of any two sides is less than third one.

Let a,b,c are the sides of triangles, then

|b-c| < a < b + c

  1. In a Scalene Triangle greatest side is always greater than the one-third of perimeter and less than half of the perimeter.

  • Let a,b,c are the sides of triangles and a is the greatest side of the triangle. Perimeter of the triangle is P.

P/3 < a < P/2

Ex: In a scalene triangle ABC, perimeter of the triangle is 24 cm and all sides are integers.

Sol: Let a,b,c are sides of triangle, and a is the greatest side.

24/3 < a < 24/2

8 < a < 12

So, all possible value of a are 9,10,11 cm.

  1. Let a,b,c are sides of triangle, and a is the greatest side.

If a2 < b2 + c2 {Then triangle is an acute angled triangle}

If a2 = b2 + c2 {Then triangle is a Right-angled triangle= Pythagoras theorem}

If a2 > b2 + c2 {Then triangle is an Obtuse angled triangle}

  1. (Here D is the midpoint of the AC side or AD = DC).

Mid point of triangle

  1. Length of the Median-

BD = ½ X √2(AB2 + BC2) – AC2

  1. 3 (Sum of squares of sides) = 4 (Sum of squares of medians)

3(a2 + b2 + c2 )= 4(Ma2 +Mb2 + Mc2 )

{Where a,b,c are sides of triangle and Ma, Mb, Mc are medians of the triangle}

  1. In a right-angle triangle, Median of Hypotenuse= Hypotenuse/2

CD = AB/2

median of hypotenuse

  1. If all the medians are drawn in the triangle, then the 6 small triangles are generated in the triangle, which are equal in the Area.

Area of Triangle:

  1. Heron’s Formula

If all sides of a triangle are given. Let a,b,c are sides of triangle-

Area = √s(s-a)(s-b)(s-c) {s is the semi-perimeter. s = (a+b+c)/2}

  1. If two sides and one included angle is given-

Area = ½ x Product of given sides x Sin(given included angle)

= ½ x a.b. SinC

{ex: sides a, b are given and included angle C is given}

  1. If a side and its respective Altitude (perpendicular drawn on a side from the opposite vertex) is given, then-

Area of the triangle = ½ x Base x Height (Altitude)

Shortcut Formulas

  1. Area of Equilateral Triangle = 34 a2

  2. Height/Altitude of Equilateral Triangle = 32 a

  3. Area of Triangle = Inradius (r) x semi-perimeter (s)

  4. Area of Triangle = Product of sides of triangle/4 X Circumradius (R)

2. Quadrilaterals:

Trapezium

Trapezium

Area = ½ x (Sum of Parallel Sides) x Height (perpendicular distance between parallel sides)

= ½ x (AB + CD) X H

Parallelogram

Parallelogram

1. Opposite angles and sides are equal.

2. Diagonals bisect each other.

3. Sum of squares of diagonals = 2(a2+b2)

4. Area = Base x Height

5. Area = a.b.sinθ

Rhombus

Rhombus






1. All sides and opposite angles are equal.

2. Diagonals bisect each other at 90 degree.

3. Sum of squares of diagonals = 4(a2)

4. Area = ½ x Product of Diagonals

5. Perimeter = 4.a

Rectangle

1. Perimeter = 2(l+b) {l=length, b= breadth}

2. Area= l.b

3. Length of diagonal = √ (l2 + b2)

Square

1. Perimeter = 4.a; {a= side of square}

2. Area = a2

3. Length of Diagonal = a.√2

Cyclic Quadrilateral

Cyclic Quadrilateral

1. Sum of opposite angles = 180°

2. Area = ½ x product of diagonals x sinθ

{where, θ is the angles between diagonals

3. Area = √(s-a) (s-b) (s-c) (s-d)

{where a,b,c,d are sides of cyclic quadrilateral and s is the semi perimeter}






































3. Circle:

  1. Circumference of Circle = 2πr

  2. Area of Circle = πr2

Semi-circle

  1. Circumference of semi-circle = πr

  2. Perimeter of semi-circle = πr + 2r {Circumference + Diameter}

  3. Area of semi-circle = πr2 /2

Sector & Segment of circle

1721716318104

{OAXC is called the sector of the circle & AXC is called the segment}

  1. Length of Arc AXC = 360. 2πr {r is the radius of circle}

  2. Area of sector OAXC = 360. πr2

  3. 2 x Area of sector = length of arc x radius

  4. Area of segment AXC = Area of sector OAXC – Area of triangle OAC

= 360. πr2 - 1/2r2sinθ

Common Tangent

  1. PQ & RS are the direct common tangents of the circle, which are equal in length. Length of direct common tangent (L)-

L2 = d2 – (r1-r2)2

{d = distance between centers of circle, r1,r2 are radius of circle}

distance between centers of circle, r1,r2 are radius of circle

  1. PQ & RS are the transverse common tangents of the circle, which are equal in length. Length of transverse common tangent (L)-

L2 = d2 – (r1+r2)2

{d = distance between centers of circle, r1,r2 are radius of circle}

distance between centers of circle, r1,r2 are radius of circle

4. Mensuration:

Cube

{a- side of cube}

1. Lateral Surface Area (L.S.A.) = 4.a2

2. Total Surface Area (T.S.A.) = 6.a2

3. Volume = a3

Cuboid

{l-length, b-breadth,

h-height}

1. Lateral Surface Area (L.S.A.) = 2(l+b).h

2. Total Surface Area (T.S.A.) = 2(lb+bh+lh)

3. Volume = l.b.h

Cylinder

{r-radius of circular base,

h-height}

1. Curved Surface Area (C.S.A.) = 2πrh

2. Total Surface Area (T.S.A.) = 2πr(r+h)

3. Volume = πr2.h

Cone

{r-radius of circular base,

h-height, l- slant height}

1. Curved Surface Area (C.S.A.) = πrl

2. Total Surface Area (T.S.A.) = πr(r+l)

3. Volume = 1/3r2.h

Sphere

{r-radius}

1. Total Surface Area = 4πr2

2. Volume = 4/3r3

Hemi-sphere

{r-radius}

1. Curved Surface Area (C.S.A.) = 2πr2

2.Total Surface Area (T.S.A.) = 3πr2

3. Volume = 2/3r3

Algebra

The Algebra section is a critical part of the Quantitative Aptitude section in the CAT exam. Below are over 50 important formulas for CAT preparation in this section, which are provided in this comprehensive CAT Formula Sheet:

1. Quadratic Equations

  1. General Quadratic equation will be in the form of ??2 + ?? + ? = 0; Values of ‘x’ which satisfies the equation are called roots of the equation. To find the roots the Shreedhara Acharya's Formula is used.

Roots of the equation, x = 12a(-b±b2-4ac )

  1. Sum of the roots = -ba

  2. Product of the roots = ca

  3. Difference of the roots = Da {where D = b2-4ac }

  4. If D > 0, Then roots of the equation will be real and distinct

{i. If D is perfect square, then roots will be rational; ex: x = 1,6

ii. If D is non-perfect square, then roots will be irrational or conjugate surds

ex: x = 3-√5, 3+√5}

  1. If D = 0, Then roots of the equation will be real and equal.

  1. If D < 0, Then roots of the equation will be imaginary and distinct.

  1. y = ??2 + ?? + ?; If a > 0

Minimum value of y =-D4a , when x = -b2a

  1. y = ??2 + ?? + ?; If a < 0

Maximum value of y =-D4a , when x = -b2a

  1. If roots of the quadratic equation are a & b, then-

Quadratic Equation = x2 – S.x + P; {where S = sum of roots; P= product of roots}

= x2 – (a+b).x + a.b

2. Progression & Series

In this chapter there are three types of progression, which are-

  1. Arithmetic Progression

  2. Geometric Progression

  3. Harmonic Progression

Arithmetic Progression (A.P.)

If a is the first term and d is the common difference then the A.P. can be written as-

a, a+d, a+2d, a+3d, ………………..

  1. Nth term of the A.P. –

Tn = a + (n-1).d {n is the no. of terms}

  1. Sum of the n terms of the A.P. (Sn) = Average of all the terms x no. of terms(n)

Average of the terms can be found out easily

  • If no. of terms is odd then the middle term will be the average

Ex: 2,5,8,11,14 are the terms of the A.P. then middle term 8 is the average

So, the sum = avg. x n = 8 x 5 = 40

  • If no. of terms is even then the average of middle terms will be the average of the A.P.

  1. Sn = n2 [2a+n-1d]

Shortcut Formulas

  1. Sn = n2 (a+l) {where a = first term, l = last term, n= no. of terms}

  2. No. of terms in A.P.

n = l-ad+1

Geometric Progression (G.P.)

If a is the first term and r is the common ratio then the G.P. can be written as-

a, a.r, a.r2, a.r3, ……………….

  1. Nth term of the G.P. –

Tn = a.rn-1 {n is the no. of terms}

  1. Sum of n terms of the G.P.-

Sn = a.1-rn1-r If r < 1 or Sn = a.rn-1r-1 If r > 1

  1. Sum of infinite terms of the G.P.-

S∞ = a1-r; If |r| < 1

Shortcut Formulas


  1. If there are odd no. of terms in a G.P., then the product of all terms are equal to the nth power of middle term.

Ex: 2,6,18,54,162 are the terms of a G.P.

Then the products of all the terms = 185

Harmonic Progression (H.P.)

If a,b,c are in A.P. then 1/a, 1/b, 1/c will be in the H.P.

  1. Nth term of the H.P.= 1/Nth term of the A.P.

Series

  1. Sum of first n natural numbers-

1 +2 + 3 + 4 + 5 +………..+ n = nn+12

  1. Sum of squares of first n natural numbers-

12 + 22 + 32 + …………….+ n2 = nn+1(2n+1)6

  1. Sum of cubes of first n natural numbers-

13 + 23 + 33 + …………….+ n3 = nn+122

  1. Sum of first n natural odd numbers-

1 + 3 + 5 + 7 + ………. = (no. of terms)2

  1. Sum of squares of first n natural even numbers-

22 + 42 + …………….+ (2n)2 = 2nn+1(2n+1)/3

  1. Sum of squares of first n natural even numbers-

12 + 32 + …………….+ (2n+1)2 = n2n+1(2n-1)/3

3. Indices & Surds

  1. A1 = A

  2. A0 = 1

  3. Am x An = Am + n

  4. Am / An = Am - n

  5. (Am)n = Am. n

  6. Am x Bm = (A.B) m

  7. Am / Bm = (A/B) m

  8. A-m = 1/Am

  9. xA = (A)1/x

Shortcut Formulas

  1. aaaa…..x times = a1-12x

  2. aaaa…..∞ times = a

4. Logarithm

  1. If AN = B ⬄ N =B

  2. N =B ; {A > 0 but not equal to 1, B > 0, N € Real no.}

  3. 1 = 0

  4. A = 1

  5. Bp = pq B

  6. x.y = x + y

  7. x/ y = x - y

  8. B = 1/A

  9. B = B /A

  10. XB = BX

  11. XB = 1

CAT Quantitative Aptitude Preparation

If you're preparing for the CAT exam, having a well-organized CAT formula sheet can be a game-changer for your Quantitative Aptitude section. This CAT quant formula cheat sheet will serve as your go-to resource, covering all the important formulas needed for the exam. Whether you're revising or solving practice questions, this CAT formulas cheat sheet ensures that you have quick access to essential quant formulas. It's crucial to keep this CAT formula sheet handy, as it consolidates all the CAT quant formulas in one place, making your preparation more efficient and effective. Careers360 has designed an ebook on the top 100 facts that each of the candidates must be aware of to enhance their CAT 2024 quantitative aptitude preparation along with the necessary formulas. The candidates are requested to download and study the ebook for an enhanced CAT quantitative aptitude 2024 preparation.

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100 Quant Facts Every CAT Aspirant Must Know

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CAT Preparation 2024 Important Books

When preparing for CAT 2024, using the right set of books is essential for thorough and targeted preparation. These books are designed to cover all the sections of the exam—Verbal Ability and Reading Comprehension (VARC), Data Interpretation and Logical Reasoning (DILR), and Quantitative Aptitude (QA)—providing in-depth knowledge of the core concepts.

Book TitleAuthor(s)
How to Prepare for Quantitative Aptitude for the CATArun Sharma
NCERT Mathematics Books (Class 6 to 10)NCERT
Quantitative Aptitude Quantum CATSarvesh Sharma
Quantitative Aptitude for Competitive ExaminationsAbhijit Guha
How to Prepare for Verbal Ability and Reading Comprehension for the CATArun Sharma and Meenakshi Upadhyay
30 Days to a More Powerful VocabularyWilfred Funk & Norman Lewis / Simon & Schuster
High School English Grammar and CompositionWren & Martin
PSC for VA for CATNishit Sinha
How to Prepare for Data Interpretation for the CATArun Sharma
Logical Reasoning and Data Interpretation for the CATNishit K. Sinha
Data Interpretation and Data SufficiencyAnanta Ashisha
CAT Data Interpretation and Logical ReasoningGautam Puri
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Frequently Asked Questions (FAQs)

1. How do I start my CAT preparation for 2024?

For CAT preparation 2024, candidates must start their preparation with proper analysis and understanding of the CAT exam pattern and syllabus. They should devise the CAT study plan and focus on important topics to cover them within the stipulated time. 

2. Is 1 month enough for CAT preparation?

CAT preparation requires a significant amount of time to prepare. However, candidates can prepare the CAT exam syllabus within 1 month if the right strategy and determination are executed. 

3. What is the formula for probability in CAT?

CAT Probability or Chance: Probability is a quantitative measure of the likelihood of a particular event occurring. PE=n(E)/n(S), where n(E) = number of favorable events; n(S) = sample space.

4. What is the important formula for percentage in CAT exam?

Important percentage formulas for CAT exam are:

  • Increase N by S% = N(1+S/100)
  • Decrease N by S% = N(1 - S/100)
  • Percentage Change=(New Value−Old Value/Old Value)×100

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Questions related to CAT

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The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.


Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.


But you could opt for:


Postgraduate Studies:


Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.

Specialized Master's Programs: Find any specific master's course that supports the career goal.

Professional Certifications:


Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.

Job Entry via MBA

After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.

In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.

Hello Pratik,

If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .

Here's what you can do:

  1. Email the CAT authorities : Inform them about the potential change in your income status and request to be considered under the General category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.

  2. Documents and Proof : Make sure you have a valid OBC certificate and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the General category, as the OBC-NC reservation is no longer applicable.

  3. General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.

To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.



For more details about CAT exam you can check out an article by Careers360 whose link is given below:

Link: https://bschool.careers360.com/exams/cat


I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.


Hi Shreya ,

Having a tattoo on your wrist should not  create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .

For a safe side , it is recommended :

1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .

2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .

Hope this helps you .

ALL THE BEST .



To know about this please prefer our college predictor

Hello,

Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:

Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.

MAT : Much easier and takes place thrice a year.

SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.

Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.

Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.

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Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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